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8007014397384 = 233337069511099
BaseRepresentation
bin111010010000100011100…
…1111111011010111001000
31001100110111121012201011000
41310201013033323113020
52022141331141204014
625010212134535000
71454326165261332
oct164410717732710
931313447181130
108007014397384
112607834980872
12a93990b07460
1346109ab9b362
141d97820a6452
15dd432b75509
hex748473fb5c8

8007014397384 has 32 divisors (see below), whose sum is σ = 22241706660000. Its totient is φ = 2669004799056.

The previous prime is 8007014397359. The next prime is 8007014397409. The reversal of 8007014397384 is 4837934107008.

It is an interprime number because it is at equal distance from previous prime (8007014397359) and next prime (8007014397409).

It is a super-2 number, since 2×80070143973842 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8007014397384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18534755334 + ... + 18534755765.

It is an arithmetic number, because the mean of its divisors is an integer number (695053333125).

Almost surely, 28007014397384 is an apocalyptic number.

It is an amenable number.

8007014397384 is an abundant number, since it is smaller than the sum of its proper divisors (14234692262616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8007014397384 is a wasteful number, since it uses less digits than its factorization.

8007014397384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37069511114 (or 37069511104 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 8007014397384 in words is "eight trillion, seven billion, fourteen million, three hundred ninety-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 37069511099 74139022198 111208533297 148278044396 222417066594 296556088792 333625599891 444834133188 667251199782 889668266376 1000876799673 1334502399564 2001753599346 2669004799128 4003507198692 8007014397384